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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 120 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.What is (−3/4) + 2/3? (a) −1/12 (b) −17/12 (c) −1/7 (d) 1/12
  2. 2.What is the additive inverse of −2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  3. 3.What is 1/9 + (−1/5)? (a) 0 (b) 14/45 (c) 4/45 (d) −4/45
  4. 4.Is 4/(−2) positive or negative? (a) Negative (b) Positive
  5. 5.Write −18/30 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −18/30 (d) −3/5
  6. 6.What is (−1/2) + (−4/7)? (a) −5/9 (b) 15/14 (c) 1/14 (d) −15/14
  7. 7.Which is smaller: −2/9 or 2/5? (a) 2/5 (b) −2/9
  8. 8.What is (−2/5) − 3/4? (a) 23/20 (b) 7/20 (c) −23/20 (d) −5/9
  9. 9.Is −4/(−6) positive or negative? (a) Negative (b) Positive
  10. 10.What is (−2/5) − 5/6? (a) 37/30 (b) 13/30 (c) −37/30 (d) −7/11
  11. 11.What is (−7/9) − (−4/5)? (a) −1/45 (b) 1/45 (c) −3/14 (d) −71/45
  12. 12.What is the additive inverse of −1/2? (a) −1/2 (b) 2 (c) −2 (d) 1/2
  13. 13.What is (−5/9) − (−2/9)? (a) 1/3 (b) −1/6 (c) −7/9 (d) −1/3
  14. 14.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −8/14 (b) −7/4 (c) 4/7 (d) −4/7
  15. 15.Which is smaller: −1/9 or −1/7? (a) −1/9 (b) −1/7
  16. 16.What is (−1/4) − 2/7? (a) 1/28 (b) −15/28 (c) 15/28 (d) −3/11
  17. 17.What is (−4/5) + 5/9? (a) −61/45 (b) 11/45 (c) 1/14 (d) −11/45
  18. 18.Is 1/(−7) positive or negative? (a) Negative (b) Positive
  19. 19.What is the additive inverse of −3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  20. 20.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) 7/9 (d) −14/18
  21. 21.What is (−5/9) − (−7/9)? (a) 1/9 (b) −4/3 (c) −2/9 (d) 2/9
  22. 22.Write −5/40 in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −5/40 (d) −8/1
  23. 23.Which is bigger: −2/9 or −8/9? (a) −2/9 (b) −8/9
  24. 24.What is (−4/5) − (−7/9)? (a) 3/14 (b) 1/45 (c) −71/45 (d) −1/45
  25. 25.Which is smaller: −5/8 or −1/7? (a) −1/7 (b) −5/8
  26. 26.What is (−1/9) − (−4/5)? (a) −31/45 (b) −41/45 (c) 3/14 (d) 31/45
  27. 27.What is (−1/5) − (−7/8)? (a) −27/40 (b) −43/40 (c) 27/40 (d) 6/13
  28. 28.What is (−1/2) + (−3/8)? (a) −7/8 (b) −1/8 (c) 7/8 (d) −2/5
  29. 29.Is 8/(−7) positive or negative? (a) Negative (b) Positive
  30. 30.Is −7/2 positive or negative? (a) Positive (b) Negative
  31. 31.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −5/2 (d) −8/20
  32. 32.What is the additive inverse of 7/9? (a) 9/7 (b) −9/7 (c) 7/9 (d) −7/9
  33. 33.Which is smaller: −1/4 or 5/7? (a) −1/4 (b) 5/7
  34. 34.What is 1/3 + (−1/3)? (a) 0 (b) 2/3
  35. 35.What is (−1/4) − 1/9? (a) 13/36 (b) −2/13 (c) −5/36 (d) −13/36
  36. 36.Is −1/7 positive or negative? (a) Negative (b) Positive
  37. 37.Is −6/9 positive or negative? (a) Positive (b) Negative
  38. 38.Is −3/(−3) positive or negative? (a) Negative (b) Positive
  39. 39.What is (−3/7) + 1/4? (a) −2/11 (b) −19/28 (c) −5/28 (d) 5/28
  40. 40.What is (−1/6) − (−5/8)? (a) −11/24 (b) −19/24 (c) 11/24 (d) 2/7

Answer key

  1. −1/12
  2. 2/3
  3. −4/45
  4. Negative
  5. −3/5
  6. −15/14
  7. −2/9
  8. −23/20
  9. Positive
  10. −37/30
  11. 1/45
  12. 1/2
  13. −1/3
  14. −4/7
  15. −1/7
  16. −15/28
  17. −11/45
  18. Negative
  19. 3/4
  20. −7/9
  21. 2/9
  22. −1/8
  23. −2/9
  24. −1/45
  25. −5/8
  26. 31/45
  27. 27/40
  28. −7/8
  29. Negative
  30. Negative
  31. −2/5
  32. −7/9
  33. −1/4
  34. 0
  35. −13/36
  36. Negative
  37. Negative
  38. Positive
  39. −5/28
  40. 11/24

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